Mathematics, 30.03.2020 20:23, Weser17

In choice situations of this type, subjects often exhibit the "center stage effect," which is a tendency to choose the item in the center. In this experiment, 34 subjects chose the pair of socks in the center. What is the probability, P , that 34 or more subjects would choose the item in the center if each subject were selecting his or her preferred pair of socks at random? Use the Normal approximation first. If your software allows, find the exact binomial probability, Pe , and compare the two. (Enter your answers rounded to four decimal places.)

Answers: 3

Show answers

Answers

answered: joelpimentel

Complete Question

The complete question is shown on the first uploaded image

The probability that he or she would choose the pair of socks in the center position is $p =\frac{1}{5}$

The correct answer choice is

X has a binomial distribution with parameters n=100 and p=1/5

The mean is $\mu = 20$

The standard deviation is $\sigma=4$

The probability, P =0.0002

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

Using the R the probability Pe = 0.0003

The probabilities $P \approx Pe$

Step-by-step explanation:

Since the person selects his or her desired pair of socks at random , then the probability that the person would choose the pair of socks in the center position from all the five identical pair is mathematically evaluated as

$p =\frac{1}{5}$

=0.2

The mean of this distribution is mathematical represented as

$\mu = np$

substituting the value

$\mu = 100 * 0.2$

$\mu = 20$

The standard deviation is mathematically represented as

$\sigma = \sqrt{np (1-p)}$

substituting the value

$= \sqrt{100 * 0,2 (1-0.2)}$

$\sigma=4$

Applying normal approximation the probability that 34 or more subjects would choose the item in the center if each subject were selecting his or her preferred pair of socks at random would be mathematically represented as

$P=P(X \ge 34 )$

By standardizing the normal approximation we have that

$P(X \ge 34) \approx P(Z \ge z)$

Now z is mathematically evaluated as

$z = \frac{x-\mu}{\sigma }$

Substituting values

$z = \frac{34-20}{4}$

=3.5

So using the z table the $P(Z \ge 3.5)$ is 0.0002

The probability P and Pe that 34 or more subject would choose the center pair is very small So

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

In choice situations of this type, subjects often exhibit the center stage effect, which is a tend

answered: Guest

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

answered: Guest

Letter a i would say
In the diagram below, ab is parallel to cd. what is the value y? a.150b.50c.60d.30

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:00, pmdare2551

The deck that kenneth is building is in the shape of a parallelogram abcd the measure of angle c is one third the measure of angle b find the measure of each angle of the deck

Answers: 2

continue

Mathematics, 21.06.2019 17:30, Zeniko

Asailor is looking at a kite. if he is looking at the kite at an angle of elevation of 36and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?

Answers: 1

continue

Mathematics, 21.06.2019 23:00, janeou17xn

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.

Answers: 1

continue

Mathematics, 22.06.2019 01:30, jlchandl

If cos(θ)=2853 with θin q iv, what is sin(θ)?

Answers: 2

continue

Do you know the correct answer?

In choice situations of this type, subjects often exhibit the "center stage effect," which is a tend...